|
Question 1117378: Hello there! I am studying for the GRE and since I will be taking the online version, I want to know how can I quickly solve the following problem without using a graphing calculator, since I won't have access to one on the test?
Which of the Following points are of the equation y=x+2 and the equation y=x^2 in the xy-plane? Indicate all points.
a. (-2,0)
b. (-1,1)
c. (0,2)
d. (1,1)
e. (2,4)
I would appreciate if you could show me the answer and how you got to it step by step. sorry for taking your time!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! I am studying for the GRE and since I will be taking the online version, I want to know how can I quickly solve the following problem without using a graphing calculator, since I won't have access to one on the test?
Which of the Following points are the equation y=x+2 and the equation y=x^2 in the xy-plane? Indicate all points.
a. (-2,0)
b. (-1,1)
c. (0,2)
d. (1,1)
e. (2,4)
------
Method:: eliminate answers rather then apply each one in both equations.
Consider y = x+2
Which of a to e DO NOT have a y-value that is 2 more than the x-value.
a. 0 is 2 more then -2 ; yes
b. 1 is 2 more then -1 ; yes
c 2 is 2 more then 0 ; yes
d. 1 is NOT then 1 so eliminate d
e. 4 is 2 more then 2 ; yes
------
Now do the same with y = x^2 but do Not check d
a. 0 is NOT (-2)^2 so eliminate a
b. 1 is (-1)^2; yes
c. 2 is NOT 0^2: so eliminate c
d. was eliminated
e. 4 is 2^2; yes
-----
Answers b and e
---
Cheers,
Stan H.
----------
|
|
|
| |
